13792251028416 has 336 divisors, whose sum is σ = 46626878511360. Its totient is φ = 3570924994560.

The previous prime is 13792251028349. The next prime is 13792251028441. The reversal of 13792251028416 is 61482015229731.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2433936 + ... + 5788656.

It is an arithmetic number, because the mean of its divisors is an integer number (138770471760).

It is a 1-persistent number, because it is pandigital, but 2⋅13792251028416 = 27584502056832 is not.

Almost surely, 2^{13792251028416} is an apocalyptic number.

13792251028416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13792251028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23313439255680).

13792251028416 is an abundant number, since it is smaller than the sum of its proper divisors (32834627482944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13792251028416 is a wasteful number, since it uses less digits than its factorization.

13792251028416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354792 (or 3354775 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 13792251028416 in words is "thirteen trillion, seven hundred ninety-two billion, two hundred fifty-one million, twenty-eight thousand, four hundred sixteen".